Welcome to Ben Binder's Research Page

Research interests

My research interests are in mathematical biology and fluid mechanics.

Biographical sketch

I was awarded my PhD in applied mathematics from the University of East Anglia, UK, 2005. The research involved numerical and analytical studies on non-linear free-surface flows. Shortly after completing my PhD I accepted a Research Associate position at the University of Adelaide, researching the chaotic dynamical systems approach to fluid mixing and its application to designing mixing devices. I briefly left Adelaide in 2007, joining the University of Melbourne as a Research Fellow. There I developed both discrete and continuous mathematical models for the neural crest cell invasion in the embryonic gut. I returned to the University of Adelaide in 2009, having been appointed a continuing position as a lecturer in applied mathematics.

Publication list

Journal articles

Free surface flow past topography: a beyond-all-orders approach (in press).
C. J. Lustri, S. W. McCue and B. J. Binder, Eur. J. App. Math.

Spatial analysis of multi-species exclusion processes: appilcation to neural crest cell migration in the embryonic gut (2012).
B. J. Binder, K. A. Landman, D. F. Newgreen, J. E. Simkin, Y. Takahashi and D. Zhang, Bull. Math. Biol. 74, 474-490.

Minimising wave drag for free surface flow past a two-dimensional stern (2011).
O. Ogilat, S. W. McCue, I. W. Turner, J. A. Belward and B. J. Binder, Phys. Fluids 23, 072101.

Hybrid free-surface flows in a two-dimensional channel (2011).
B. J. Binder and J.-M. Vanden-Broeck, Phys. Rev. E. 84, 016302.

The paper below was selected to appear in the Vir. J. Bio. Phys. Res. 21, (9), (2011).

Quantifying evenly distributed states in exclusion and non-exclusion processes (2011).
B. J. Binder and K. A. Landman. Phys. Rev. E. 83, 041914.

Ghost rods adopting the role of removed baffles in batch mixer designs (2010).
B. J. Binder, Physics Letters A 374, 3483-3486.

Neural crest regionalisation for enteric nervous system formation: Implications for Hirschsprung's disease and stem cell therapy (2010).
D. Zhang, I. M. Brinas, B. J. Binder, K. A. Landman & D. F. Newgreen, Dev. Biol. 339, 280-294.
This paper was selected for evaluation by Faculty of 1000 Biology (pdf version).

Steady free-surface flow at the stern of a ship (2010).
B. J. Binder, Phys. Fluids 22, 012104.

Exclusion processes on a growing domain (2009).
B. J. Binder & K. A. Landman, J. Theor. Bio. 259, 541-551.

A nonlinear dynamical system: flow past a sluice gate (2009).
B. J. Binder, Australasian J. of Engng. Educ. 15 (2), 27-34.
This paper was selected by the Editor for a special issue on Engineering Mathematics Education.

Tissue growth and the Polya distribution (2009).
B. J. Binder & K. A. Landman, Australasian J. of Engng. Educ. 15 (2), 35-41.
This paper was selected by the Editor for a special issue on Engineering Mathematics Education.

On satisfying the radiation condition in free-surface flows (2009).
B. J. Binder, J.-M. Vanden-Broeck & F. Dias, J. Fluid Mech. 624, 179-189.

The paper below was selected to appear in the Vir. J. Bio. Phys. Res. 16, (7), (2008).

Modeling proliferative tissue growth: a general approach and an avian case study (2008).
B. J. Binder, M. J. Simpson, K. A. Landman, M. Mariani & D. F. Newgreen. Phys. Rev. E. 78, 031912.

Influence of rapid changes in a channel bottom on free-surface flows (2008).
B. J. Binder, F. Dias & J. -M. Vanden-Broeck, IMA J. Appl. Math. 73, 254-273
This paper was an invited paper by the Editor to commemorate the late Prof. A. C. King

A batch mixer design for the pigtail braid (2008).
B. J. Binder & S. M. Cox, Fluid Dyn. Res. 40, 34-44.
This paper was selected by the Editor for a special issue on Fluid Mixing.

The effect of disturbances on the free surface flow under a sluice gate (2007).
B. J. Binder & J. -M. Vanden-Broeck, J. Fluid Mech. 573, 475-490.

Steady free-surface flow past an uneven channel bottom (2006).
B. J. Binder, F. Dias & J. -M. Vanden-Broeck, Theor. Comp. Fluid Dyn., 20, 125-144.

Free surface flows past surfboards and sluice gates (2005).
B. J. Binder & J. -M. Vanden-Broeck, Eur. J. App. Math. 16, 601-619.

Forced solitary waves and fronts past submerged obstacles (2005).
B. J. Binder, F. Dias & J. -M. Vanden-Broeck, Chaos 15, 037106.
This paper was selected by the Editor for a focus issue on Solitons in Nonintegrable Systems.

Conference papers

Social controls of migration and proliferation of neural crest-derived cells in the gut (2009).
D. F. Newgreen, D. C. Zhang, B. J. Binder, M. J. Simpson, K. A. Landman, H. Enomoto & H. M. Young. Second International Symposium on Development of the Enteric Nervous Systems: Cells, Signals and Genes. Neurogastroenterol. Motil. 21, (2), 223(XI).

The prevalence of ghost rods in batch mixer designs (2008).
S. M. Cox & B. J. Binder. XXII International Congress of Theoretical and Applied Mechanics ISBN 978-0-9805142-0-9.

Open channel flow past a curved sluice gate (2008).
B. J. Binder, J.-M. Vanden-Broeck & F. Dias. XXII International Congress of Theoretical and Applied Mechanics ISBN 978-0-9805142-0-9.